Mathematics · JEE

Probability: Probability of an event, addition and multiplication theorems of probability Mock Test for JEE

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Q1MathsUnit 13: Statistics and Probability
The probability of an even happens in one trial of an experiment is 0.3.0.3 . Three independent trials of the experiments are performed. Find the probability that the event A happens at least once.
Q2MathsUnit 13: Statistics and Probability
If AA and BB are independent events such that 0<P(A)<1,0<P(B)<1,\mathbf{0}<\boldsymbol{P}(\boldsymbol{A})<\mathbf{1}, \mathbf{0}<\boldsymbol{P}(\boldsymbol{B})<\mathbf{1}, then This question has multiple correct options
Q3MathsUnit 13: Statistics and Probability
What is the probability of selecting two spade cards from a pack of 52 cards?
Q4MathsUnit 13: Statistics and Probability
Choosing a marble from a jar and landing on heads after tossing a coin is an act of
Q5MathsUnit 13: Statistics and Probability
Let AA and BB be two events such that P(AB)=16,P(AB)=14P(\overline{A \cup B})=\frac{1}{6}, P(A \cap B)=\frac{1}{4} and P(Aˉ)=14,P(\bar{A})=\frac{1}{4}, where Aˉ\bar{A} stands for the complement of the event A. Then the events AA and BB are?
Q6MathsUnit 13: Statistics and Probability
When a coin is tossed at random, then the probability of getting a head is
Q7MathsUnit 13: Statistics and Probability
A machine has three parts, A,BA, B and CC whose chances of being defective are 0.02,0.10 and 0.05 respectively. The machine stops working if any one of the arts becomes defective. What is the probability that the machine will not stop working?
Q8MathsUnit 13: Statistics and Probability
AA and BB are two events where P(A)=P(A)= 0.25 and P(B)=0.5.P(B)=0.5 . The probability of both happening together is 0.14 . The probability of both AA and BB not happening is

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